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From Context to Algebraic Procedures: A Praxeological Analysis of Knowledge Construction in a Gakko Tosho Mathematics Textbook Ika Wulandari; Didi Suryadi; Sufyani Prabawanto; kusnandi
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 11 No 2 (2026): October
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v11i2.8822

Abstract

Mathematics textbooks not only introduce procedures for solving systems of linear equations in two variables but also provide mathematical reasons for their validity. This study examines the construction and justification of elimination and substitution techniques in the Indonesian Grade VIII Gakko Tosho student textbook and teacher guide (2021). A qualitative document analysis was conducted within the Anthropological Theory of the Didactic. Seven types of tasks were examined through practical blocks (tasks and techniques) and theoretical blocks (technologies and theories), complemented by epistemic and systemic analyses. The findings reveal a progression from contextual problems and simultaneous solutions to elimination, substitution, strategy selection, and mathematical modelling. Elimination develops from relationships between contextual quantities before being formalised through operations on equations, whereas substitution draws on replacing expressions of equal value. The teacher guide explicitly provides operational justifications based on properties of equality, addition and subtraction of equations, and equal-valued substitution. Both resources also support checking solution pairs and comparing strategies. However, these explanations mainly concern particular operations and examples; a general account of why equivalent system transformations preserve the entire solution set was not found explicitly stated. The study identifies an established connection between contexts, techniques, and operational justifications while highlighting an opportunity to make the general mathematical basis of valid system transformations more visible in the organisation of knowledge.
No gender differences in mathematical problem-solving ability: A study with mathematics anxiety control Ahmad Dzulfikar; Turmudi; Tatang Herman; Kusnandi
Jurnal Absis: Jurnal Pendidikan Matematika dan Matematika Vol. 8 No. 1 (2025): Jurnal Absis
Publisher : Program Studi Pendidikan Matematika Universitas Pasir Pengaraian

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30606/absis.v8i1.3171

Abstract

Equality, including gender, is an essential principle in school mathematics education and learning. Previous research findings, however, have yielded mixed results in terms of students’ mathematics proficiency, particularly mathematical problem-solving abilities. Furthermore, mathematics anxiety is frequently related to a decline in these abilities. As a result, the purpose of this study is to examine gender disparities in students’ mathematical problem-solving abilities while accounting for the influence of students’ mathematics anxiety. This study used a survey method with 96 students chosen by cluster sampling from a public junior high school in an urban area. This study included two instruments: a mathematical problem-solving abilities test and a mathematics anxiety scale. The findings of this study show that: (1) there is no significant difference in students’ mathematics anxiety based on gender, (2) gender has no significant effect on students’ mathematical problem-solving abilities after controlling for mathematics anxiety, and (3) mathematics anxiety has a significant effect on mathematical problem-solving abilities after controlling for gender. These findings highlight the need for strategies for reducing mathematics anxiety in children. Comprehensive assistance from the learning environment, including the responsibilities of parents, teachers, and friends, as well as a positive learning environment, is intended to assist students in overcoming mathematics anxiety. Thus, this study has significant implications for the development of inclusive and successful mathematics learning strategies.